Rewrite (2)/(x^(2)-x-12 ) and (1)/(x^(2)-16 ) as equivalent rational expressions with the lowest common denominator. Provide your answer below: ___ , ___

Question

Rewrite
`(2)/(x^(2)-x-12 ) and (1)/(x^(2)-16 )` as equivalent rational expressions with the lowest common denominator.

Provide your answer below:
___ , ___

Answer 1

2(x+4)/(x+3)(x-4)(x+4) and 1(x+3)/(x+3)(x-4)(x+4)

Explanation:

Factor x^2-x-12: (x+3)(x-4)

Factor x^2-16: (x+4)(x-4)

So, LCD would be (x+3)(x-4)(x+4)

Rewritten: 2(x+4)/(x+3)(x-4)(x+4) and 1(x+3)/(x+3)(x-4)(x+4)

I hope this helped and have a good rest of your day!